Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

Answer:

25

Step-by-step explanation:

The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.

In this case 1/2 AC = 1/2 * 50 = 25

The length of DF = 25

Answer:

12

Step-by-step explanation:

its just how it is

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Answer:

Step-by-step explanation:

Answer:

[tex]x=-6,\\y=6[/tex]

Step-by-step explanation:

Rewrite the system of equations as:

[tex]\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}[/tex]

Subtract the second equation from the first to isolate [tex]x[/tex]:

[tex]-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}[/tex]

Plug in [tex]x=-6[/tex] into any of the equations above and solve for [tex]y[/tex]:

[tex]-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}[/tex]

Verify that the solution pair [tex](-6, 6)[/tex] works [tex]\checkmark[/tex]

Therefore, the solution to this system of equations is:

[tex]x=-6,\\y=6[/tex]

Each angle  = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o  and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1:  ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o  angle 2:  ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o  

Answer:

Step-by-step explanation:

4/3

Hope it helped you.

Plz mark me brainliest.

Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

Answer:

B.

Step-by-step explanation:

Answer:

I believe y equals 0

Step-by-step explanation:

sorry If i am wrong

Step-by-step explanation:

So let's keep the missing number as x

So the ratio becomes 3x:4x

And according to the question,

3x + 4x = 35

7x = 35

x = 35/7

x = 5

So to find the number of boys:- 3 * 5 = 15

Number of girls:- 4 * 5 = 20

Therfore, Difference = 20 - 15

= 5 students

Hope you understood :)

Answer:

5 more girls than boys

Step-by-step explanation:

When you think of ratio, imagine it this way. A ratio literally means a fraction. So, we can visualise it a similar way: a pie. Or a pizza, if you like.

In the pie, there are two groups. One are the boys and one are the girls. When you say their ratio is 3:4, it means that for every 3 boys there are 4 girls. This means that the number of boys can be represented as 3 units and the number of girls as 4 units. We just do not know how many students one unit represent, but any one unit is equal in a ratio, no matter how many groups there are.

Hence, imagine the pie as being divided into 3 slices + 4 slices. That makes 7 slices. Now we need to find out how many students forms one slice.

We know that the whole pie is made up of 35 students. There are 7 slices in the pie. Hence, to find the number of students in a slice, simply divide 35 by 7:

35/ 7 = 5

We now know one slice, or one unit, has 5 students.

Now multiply the value of the unit by how many units each group is made up of to find how many students there are in each group. 3 x 5 = 15. 4 x 5 = 20. One cool trick here is to add up the values again to see if it fits to the original sum. This helps you check your working.

We now know there are 20 girls and 15 boys, Hence, there are 20–15 = 5 more girls than boys.

Answer:

p = 1

Step-by-step explanation:

one. 2-1 would equal 1 so p would have to be 1 exactly

The correct matching will be given as A-1, B-3, and C-2.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The general equation is given below.

y = ax²

If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.

If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.

Graph A is upward and shrinks parabolas so the equation will be y = x⁸.

Graph B is downward parabolas so the equation will be y = -3x⁸.

Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.  

Then the correct matching will be given as A-1, B-3, and C-2.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

Answer:

Perpendicular H = 5.244 m (Approx)

Step-by-step explanation:

Given:

Hypotenuse = 9.4 m

Base = 7.8 m

Find:

Perpendicular H

Computation:

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = √9.4² - 7.8²

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = 5.244 m (Approx)

Answer: 5 days

Step-by-step explanation:

Let the number of pallets that the tan gerbil eat be x.

Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:

(4 × x) - 10 = 30

4x - 10 = 30

4x = 30 + 10.

4x = 40

x = 40/4

x = 10

The tan gerbil eats 10 pallets per day.

Both gerbil eats (30 + 10) = 40 gerbils per day.

Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:

= 200 / 40

= 5 days

Answer:

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Discontinuities

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]

Step 2: Simplify

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]

Pre-Algebra

Order of Operations: BPEMDAS

Terms/Coefficients

Factoring

Calculus

Discontinuities

^_^ ❤

Answer:

there is not enough information provided to answer this question

Step-by-step explanation:

I'm sorry

Answer: but what’s the question

Step-by-step explanation:

Theirs not much provided

Answer:

5n

Step-by-step explanation:

Step one:

Given data

Solve the problem

6n - n

The expression is an algebraic expression, since all the terms are the same, we want to perform a subtraction operation on the terms

so

6n-n= 5n

The answer is clearly no listed in the options

9514 1404 393

Answer:

  k(w) = (w +3)²

Step-by-step explanation:

The name of the function is k, and its input is w, so the left side of the equal sign will be ...

  k(w)

This is said to be the square of the sum w+3, so the right side of the equal sign will be ...

  (w +3)²

The function equation in function notation is ...

  k(w) = (w +3)²

Answer:

k(w) = (w +3)²

I took the test

Answer:

50...?

Step-by-step explanation:

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps

Answer:

.18 grams equals .00018 kilograms

Answer:

.00018 kg

Step-by-step explanation:

To get from grams to kilograms, you divide by 1000, so you have to divide .18 by 1000. 0.18/1000 = .00018, so the answer is .00018 kg

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Answer:

The answer is C

Step-by-step explanation:

I may be wrong but you need to line the decimal

Answer: 6 students in each van

Step-by-step explanation: Sx5=30

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30

Answer:

all are a polynomial function and

1.the degree is 3 and number of term is 4

2. 1 and 3

3. 1 and 4/3

4. 2 and -4

5. 2 and 1